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Finding the Fourth Proportional to 2,243.37, 3,365.81 and 1,147.44

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Solution

The fourth proportional to 2,243.37, 3,365.81 and 1,147.44 is: 1,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.37 : 3,365.81 = 1,147.44 : x
  2. Step 2: Convert to fraction form
    2,243.37/3,365.81 = 1,147.44/x
  3. Step 3: Cross multiply
    2,243.37x = 3,365.81 × 1,147.44
  4. Step 4: Simplify right side
    2,243.37x = 3,862,065.03
  5. Step 5: Solve for x
    x = 3,862,065.03/2,243.37
  6. Step 6: Final answer
    x = 1,721.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.